Welcome to the NavList Message Boards.


A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Compose Your Message

Add Images & Files
    Re: Still on LOP's (mea culpa)
    From: Michael Wescott
    Date: 2002 Apr 26, 10:26 -0400

    >> Given that each observation comes from the same Gaussian distribution
    >> the joint probability density is proportional to
    >>        exp( -(d1**2 + d2**2 + d3**2 ... ))
    >> where dn is the distance from a point to LOP number n. So it's
    >> a matter of minimizing d1**2 + d2**2 + d3**2 ...  to get maximum
    >> joint prob density or MPP. In other words it's a least squares problem.
    > Now I am getting confused anew. If the sigma is the same for each LOP,
    > then how can the expression below weight dN differently from dM. All
    > the d's are squared inside the exp(). So in a 3-LOP case, how could the
    > center be anything but the center of the inscribed circle (i.e. all d
    > the same value)?
    By geometry. If you move the candidate point for MPP almost parallel to
    side N and side P, dM can get smaller faster than dN and dP get bigger.
    It depends on their mutual orientation.
            Mike Wescott

    Browse Files

    Drop Files


    What is NavList?

    Join NavList

    (please, no nicknames or handles)
    Do you want to receive all group messages by email?
    Yes No

    You can also join by posting. Your first on-topic post automatically makes you a member.

    Posting Code

    Enter the email address associated with your NavList messages. Your posting code will be emailed to you immediately.

    Email Settings

    Posting Code:

    Custom Index

    Start date: (yyyymm dd)
    End date: (yyyymm dd)

    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site